Question: For this problem, please refer to the Part 6 of the spreadsheet for your state. The advertised selling prices in your sample of n homes have been arranged into two categories: less than or equal to $300,000, over $300,000. This table also shows how many of your n homes are less than 2000 sq. ft. in size, or are 2000 or more square feet in size. Using the table shown in Part 6 of your state's spreadsheet, answer the following questions. Please first state your answer as an unreduced fraction and then state your final answer as a reduced fraction, or as a decimal rounded to the nearest thousandth, or as a percent rounded to the nearest tenth of a percent. If a home is selected at random,

a. what is the probability that it will have an advertised selling price of at most $300,000?

b. what is the probability that it will have an advertised selling price of no more than $300,000 or it is less than 2000 sq. ft. in size?

c. what is the probability that it will have an advertised selling price of $300,000 or less, given that the home is at least 2000 sq ft?

d. what is the probability that the home has an advertised selling price of over $300,000 and the home is less than 2000 square feet in size?